Answered: Researchers collected samples of water…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Researchers collected samples of water from streams in a mountain range to investigate the effects of acid rain. They measured the pH (acidity) of the water and classified the streams with respect to the kind of substrate (type of rock over which they flow). A lower pH means the water is more acidic. The plot to the right shows the pH of the streams by substrate (limestone, mixed, or shale). Selected parts of a software analysis comparing pH of streams with mixed and shale substrates are shown below. Complete parts a through c.

2-Sample t-test of μ1−μ2=0, Difference Between Means=0.195 t-Statistic=5.30 w/125 df, P≤0.0001

a) State the null and alternative hypotheses for this test. Choose the correct answer below.

A. H0: μM−μS=0; HA: μM−μS≠0

B. H0: μM−μS≤0; HA: μM−μS>0

C. H0: μM−μS≥0; HA: μM−μS<0

H0: μM−μS≠0; HA: μM−μS=0

Part 2

b) From the information you have, do the assumptions and conditions appear to be met?

Which of the following conditions are satisfied for the given data? Select all that apply.

A. Independent group assumption

B. Independence assumption

C. Nearly normal condition

Part 3

c) What conclusion would you draw?

▼ (Fail to reject/ Reject)

H0. There

▼

(is not/ is)

strong evidence that the streams with mixed substrates have mean pH levels different from those of streams with shale substrates.

8.0-
7.6-
는 7.21
6.8-
6.4-
M
Subetroto Tyno

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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